413091520 has 56 divisors (see below), whose sum is σ = 987698304. Its totient is φ = 164560896.

The previous prime is 413091499. The next prime is 413091541. The reversal of 413091520 is 25190314.

It is an interprime number because it is at equal distance from previous prime (413091499) and next prime (413091541).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79729 + ... + 84751.

Almost surely, 2^413091520 is an apocalyptic number.

413091520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493849152).

413091520 is an abundant number, since it is smaller than the sum of its proper divisors (574606784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413091520 is a wasteful number, since it uses less digits than its factorization.

413091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 413091520 is about 20324.6530105682. The cubic root of 413091520 is about 744.7584280505.

The spelling of 413091520 in words is "four hundred thirteen million, ninety-one thousand, five hundred twenty".